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131244203330240 = 2657112131719115319
BaseRepresentation
bin11101110101110110101100…
…000111100100101011000000
3122012200211020012002020100112
4131311312230013210223000
5114200301112023031430
61143044431001210452
736434036464416440
oct3565665407445300
9565624205066315
10131244203330240
1138900399283600
121287800a190a28
1358303769c5bb0
14245a379216120
151028e69ca7195
hex775dac1e4ac0

131244203330240 has 1344 divisors, whose sum is σ = 471228739430400. Its totient is φ = 33668575395840.

The previous prime is 131244203330159. The next prime is 131244203330327. The reversal of 131244203330240 is 42033302442131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131244203330197 and 131244203330206.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1138039301 + ... + 1138154619.

It is an arithmetic number, because the mean of its divisors is an integer number (350616621600).

Almost surely, 2131244203330240 is an apocalyptic number.

131244203330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131244203330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235614369715200).

131244203330240 is an abundant number, since it is smaller than the sum of its proper divisors (339984536100160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131244203330240 is a wasteful number, since it uses less digits than its factorization.

131244203330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115414 (or 115393 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 131244203330240 its reverse (42033302442131), we get a palindrome (173277505772371).

The spelling of 131244203330240 in words is "one hundred thirty-one trillion, two hundred forty-four billion, two hundred three million, three hundred thirty thousand, two hundred forty".